Solve -7(2*3x)*9

$$- 7 ( 2 * 3 x ) \cdot 9$$

Evaluate

$$-378x$$

Solution Steps

Multiply -7 and 2 to get -14.

$$-14\times 3x\times 9$$

Multiply -14 and 3 to get -42.

$$-42x\times 9$$

Multiply -42 and 9 to get -378.

$$-378x$$

Differentiate w.r.t. x

$$-378$$

Steps Using Definition of a Derivative

Multiply -7 and 2 to get -14.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-14\times 3x\times 9)$$

Multiply -14 and 3 to get -42.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-42x\times 9)$$

Multiply -42 and 9 to get -378.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-378x)$$

The derivative of ax^{n} is nax^{n-1}.

$$-378x^{1-1}$$

Subtract 1 from 1.

$$-378x^{0}$$

For any term t except 0, t^{0}=1.

$$-378$$